# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))=>(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))&s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/DIVMOD__ID', ch4s_arithmetics_DIVMODu_u_ID)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/DIVMOD__ID', aHLu_TRUTH)).
fof(6, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/arithmetic/DIVMOD__ID', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/arithmetic/DIVMOD__ID', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(8, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X5),file('i/f/arithmetic/DIVMOD__ID', ah4s_arithmetics_MULTu_u_CLAUSESu_c2)).
fof(9, axiom,![X6]:![X1]:![X7]:(?[X8]:(s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X8)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X6)),file('i/f/arithmetic/DIVMOD__ID', ah4s_arithmetics_DIVu_u_UNIQUE)).
fof(10, axiom,![X8]:![X1]:![X7]:(?[X6]:(s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X8)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X8)),file('i/f/arithmetic/DIVMOD__ID', ah4s_arithmetics_MODu_u_UNIQUE)).
# SZS output end CNFRefutation
